You can put this solution on YOUR website! A man bicycle 52 miles in 5 hours, travelling at 8 m.p.h for x hours and at 12 m.p.h for y hours.
Find x and y.
:
The time equation:
x + y = 5
x = (5-y); we can use this form for substitution
:
The distance equation (dist = speed * time)
8x + 12y = 52
replace x with (5-y)
8(5-y) + 12y = 52
40 - 8y + 12y = 52
-8y + 12y = 52 - 40
4y = 12
y = 12/4
y = 3 hrs
find x
x + 3 = 5
x = 2 hrs
:
:
Check this in the distance equation
8(2) + 12(3) = 52
16 + 36 = 52
